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Open AccessArticle

Does Our Universe Prefer Exotic Smoothness?

1
German Aerospace Center (DLR), Rutherfordstr. 2, 12489 Berlin, Germany
2
Copernicus Center for Interdisciplinary Studies, Jagiellonian University, Szczepańska 1/5, 31-011 Cracow, Poland
3
Cognitive Science and Mathematical Modelling Chair, University of Information Technology and Management, ul. Sucharskiego 2, 35-225 Rzeszów, Poland
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(1), 98; https://doi.org/10.3390/sym12010098
Received: 24 November 2019 / Revised: 26 December 2019 / Accepted: 2 January 2020 / Published: 5 January 2020
Various experimentally verified values of physical parameters indicate that the universe evolves close to the topological phase of exotic smoothness structures on R 4 and K3 surface. The structures determine the α parameter of the Starobinski model, the number of e-folds, the spectral tilt, the scalar-to-tensor ratio and the GUT and electroweak energy scales, as topologically supported quantities. Neglecting exotic R 4 and K3 leaves these free parameters undetermined. We present general physical and mathematical reasons for such preference of exotic smoothness. It appears that the spacetime should be formed on open domains of smooth K 3 # C P 2 ¯ at extra-large scales possibly exceeding our direct observational capacities. Such potent explanatory power of the formalism is not that surprising since there exist natural physical conditions, which we state explicitly, that allow for the unique determination of a spacetime within the exotic K3. View Full-Text
Keywords: exotic R4 and cosmology; space topology changes; exotic K3; spacetime exotic R4 and cosmology; space topology changes; exotic K3; spacetime
MDPI and ACS Style

Asselmeyer-Maluga, T.; Król, J.; Miller, T. Does Our Universe Prefer Exotic Smoothness? Symmetry 2020, 12, 98.

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